5003563968 has 336 divisors, whose sum is σ = 16745772960. Its totient is φ = 1456164864.

The previous prime is 5003563967. The next prime is 5003563969. The reversal of 5003563968 is 8693653005.

5003563968 is a `hidden beast` number, since 5 + 0 + 0 + 3 + 5 + 639 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5003563967) and next prime (5003563969).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5003563963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8109196 + ... + 8109812.

It is an arithmetic number, because the mean of its divisors is an integer number (49838610).

Almost surely, 2^5003563968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5003563968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372886480).

5003563968 is an abundant number, since it is smaller than the sum of its proper divisors (11742208992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5003563968 is a wasteful number, since it uses less digits than its factorization.

5003563968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 5003563968 is about 70735.8746888734. The cubic root of 5003563968 is about 1710.3821368190.

It can be divided in two parts, 50035 and 63968, that added together give a triangular number (114003 = T₄₇₇).

The spelling of 5003563968 in words is "five billion, three million, five hundred sixty-three thousand, nine hundred sixty-eight".